13131121313 has 2 divisors, whose sum is σ = 13131121314. Its totient is φ = 13131121312.

The previous prime is 13131121309. The next prime is 13131121343. The reversal of 13131121313 is 31312113131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9857908369 + 3273212944 = 99287^2 + 57212^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131121313 - 2² = 13131121309 is a prime.

It is not a weakly prime, because it can be changed into another prime (13131121343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565560656 + 6565560657.

It is an arithmetic number, because the mean of its divisors is an integer number (6565560657).

Almost surely, 2^13131121313 is an apocalyptic number.

It is an amenable number.

13131121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131121313 is an equidigital number, since it uses as much as digits as its factorization.

13131121313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 162, while the sum is 20.

Adding to 13131121313 its reverse (31312113131), we get a palindrome (44443234444).

The spelling of 13131121313 in words is "thirteen billion, one hundred thirty-one million, one hundred twenty-one thousand, three hundred thirteen".